Pith Number

pith:TTYPMJKJ

pith:2009:TTYPMJKJDU5TPPRRKCIJJHYD4D

not attested not anchored not stored refs pending

Effect of Legendrian Surgery

Fr\'ed\'eric Bourgeois, Tobias Ekholm, Yakov Eliashberg

arxiv:0911.0026 v4 · 2009-10-30 · math.SG · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TTYPMJKJDU5TPPRRKCIJJHYD4D}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:27:15.143796Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cf0f625491d3b37be315090949f03e0d33a01862ed5f76f262c97efc9fa20a9

Aliases

arxiv: 0911.0026 · arxiv_version: 0911.0026v4 · doi: 10.48550/arxiv.0911.0026 · pith_short_12: TTYPMJKJDU5T · pith_short_16: TTYPMJKJDU5TPPRR · pith_short_8: TTYPMJKJ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/TTYPMJKJDU5TPPRRKCIJJHYD4D \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 9cf0f625491d3b37be315090949f03e0d33a01862ed5f76f262c97efc9fa20a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2aa99f45bb6dbf30f14b985ee7944282fa084af25148f0475fc32414b5de077a",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2009-10-30T21:36:48Z",
    "title_canon_sha256": "2a1540d3bbd29525ce7a277068e8549e86f5039086380ab6c490c0f43ce4c8c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.0026",
    "kind": "arxiv",
    "version": 4
  }
}